Question

In: Math

Create your own scenario in which you can compare the cost for two choices for the...

Create your own scenario in which you can compare the cost for two choices for the same service.

You will need to create two equations, each of which should include::

1. fixed cost

2. variable cost

Then write an inequality to compare the two choices and solve it. Interpret your solution to further explain your comparison. Below is an example that you may use as a model to help you develop your own scenario.

I am trying to decide whether to install a solar energy system or replace my existing gas system. The solar system will cost $20,000 to install but only $25 per month. The equation for the total cost is Solar Cost = 25x + 20000 where x is the number of months. The gas system will only cost $5,000 to install but will cost $125 per month. The equation is Gas Cost = 125x + 5000. To find out how long I need to live in my home for the solar to be more cost effective, I need to solve the following inequality: 25x + 20000 < 125x + 5000. When I solve the inequality, x > 150. That means I need to live in the house longer than 150 months, or 12.5 years, for the solar system to be a better deal.

Expert Solution

Solar system:

Fixex cost=Installation cost= $20,000

Variable cost= $25 per month

Let x be the number of months.

Variable cost= 25*x=25x

Total cost = Fixed cost+ Variable cost

Total cost of solar sytem= 20,000+25x

Gas system:

Fixex cost=Installation cost= $5,000

Variable cost= $125 per month

Let x be the number of months.

Variable cost=125*x=125x

Total cost = Fixed cost+ Variable cost

Total cost of solar sytem= 5000+125x

For the solarsystem to be beneficial,

cost of solar system< cost of gas system

20,000+25x<5000+125x

subtracting 20,000 from both sides

20,000+25x-20,000<5,000+125x-20,000

25x<125x-15,000

Subtract 125x from both sides

25x-125x<125x-15,000-125x

-100x<-15,000

Multiplying with (-1) on both sides and reversing the inequality

-100x*(-1)>-15,000*(-1)

100x>15,000

Dividing with 100 on both sides

x>150

150 months =12.5 years

So , we should live more than 150 months (12.5 years)in the house for the solar sytem to be benificial.

If we are living less than 12.5 years in the house then the gas system will be benificial.

milcah answered 2 years ago

Outline and create a scenario of your own example where you could differentiate SIX (6) views...

Outline and create a scenario of your own example where you could differentiate SIX (6) views on the concept of sympathy to empathy. Decide which one is harder to comprehend and why?

This week you will be working on scenario #1 by coming up with your own scenario....

This week you will be working on scenario #1 by coming up with your own scenario. Read the scenario listed below make sure to address each statement below . Determine which law is being violated and explain how it occurred. Summarize the article or legal case that falls under this violation. Create a solution that would prevent the ethical violation that you identified in the scenario. Discuss: Scenarios 1: You are working as a medical claims processor for a health...

For this discussion, you will create a scenario in which you are counseling a client, applying...

For this discussion, you will create a scenario in which you are counseling a client, applying techniques from Reality theory. The details of the counseling session scenario are up to you; however, note that your client must come from a diverse social or cultural background. Write the script of your hypothetical counseling session. The script must have at least 20 responses—10 from the client and 10 from you as the counselor. Your responses must align with the philosophy and goals...

Create a ticket pricing scenario in which you have 1000 seats in your stadium, 3 price...

Create a ticket pricing scenario in which you have 1000 seats in your stadium, 3 price levels, and you have just held your first game. Following the game you are the box office manager, and management has asked you for the post game metrics. They would like to know what the ATP was for the game and what the drop count percentage for the game was. Present below not just your ATP and drop count percentage, but how you arrived...

Your company is thinking about acquiring another corporation. You have two choices; the cost of each...

Your company is thinking about acquiring another corporation. You have two choices; the cost of each choice is $250,000. You cannot spend more than that, so acquiring both corporations is not an option. The following are your critical data: a. Corporation A: 1) Revenues = 100K in year one, increasing by 10% each year. 2) Expenses = 20K in year one, increasing by 15% each year. 3) Depreciation Expense = 5K each year. 4) Tax Rate = 25% 5) Discount...

Based on the following scenario and numbers, could you create a Cash Flow Statement? Scenario: Your...

Based on the following scenario and numbers, could you create a Cash Flow Statement? Scenario: Your team has been hired to provide financial analysis for a start-up company, Bobble in Style, which produces customized bobble heads. The bobble heads are made out of less rigid materials and are more true to life than those of competitors. The company inventors, Mr. and Mrs. Lee, are going to pitch their idea to Shark Tank in a few months, but first they need...

In your own words, what is utility? Can utility be measured? Can you measure your own...

In your own words, what is utility? Can utility be measured? Can you measure your own utility? Can someone else measure your utility? Why or why not? Can social welfare be measured by “adding up” peoples’ utilities? Why or why not? If not by using utility, how can policy makers estimate the welfare of government policies?

DISCUSSION QUESTIONS In your own workplace, can you give a good example of a direct cost?...

DISCUSSION QUESTIONS In your own workplace, can you give a good example of a direct cost? An indirect cost? What is the difference? Does your organization use responsibility centers? If not, do you think they should? Why? If so, do you believe the responsibility centers operate properly? Would you make changes? Why?

Please identify the type of training evaluation used in each scenario. Your choices for each scenario...

Please identify the type of training evaluation used in each scenario. Your choices for each scenario are one of the four types of evaluation: 1. Results Evaluation; 2. Behavioral Evaluation; 3. Learning Evaluation; 4. Reaction Evaluation A. A curator of a traveling new exhibit examines the wear on the new museum floor in the room where the exhibit is located to ascertain the popularity of the exhibit. What level of evaluation is this? B. Rod goes through training on controlling...

-Create your own real world null and alternative superiority hypothesis example. -THEN write the same scenario/hypothesis...

-Create your own real world null and alternative superiority hypothesis example. -THEN write the same scenario/hypothesis as an alternative equivalence AND alternative non-inferiority hypotheses.